Q:

a rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes. What is the rockets rate of change in miles per minute?

Accepted Solution

A:
The rate of change is 2 miles per minuteStep-by-step explanation:GivenInitial values for rocket Height = h_1 = 1 mileTime = t_1 = 30 secondsAs we have to alculate the rate in milea per minute, we will convert the time into minutesSo,30 secs = 30/60 min = 0.5 minFinal Values:h_2 = 5 milest_2 = 2.5 minutesRate of change is given by:[tex]Rate\ of\ change = \frac{Change\ in\ height}{Change\ in\ time}\\=\frac{h_2-h_1}{t_2-t_1}\\=\frac{5-1}{2.5-0.5}\\=\frac{4}{2}\\= 2\ miles\ per\ minute[/tex]The rate of change is 2 miles per minuteKeywords: Rate of change, timeLearn more about rate of change at:brainly.com/question/5023297brainly.com/question/5059091#LearnwithBrainly